The shell variant of a Dyson sphere consists of an artificially-made shell of material about 1 AU in radius encircling a star. The sphere captures most of the star's energy and stores it for future use. Unfortunately, the megastructure will lose energy. It has a non-zero temperature, and therefore it will radiate energy in the form of black body radiation. As with any heat engine, we can assign an efficiency, $\eta$, to it: $$\eta \equiv 1-\frac{T_{\text{DS}}}{T_{\ast }}$$ with $T_{\text{DS}}$ the temperature of the shell and $T_{\ast }$ the temperature of the star. An old paper I found thinks that a temperature of $T_{\text{DS}}=300\text{ K}$ might be realistic (giving an efficiency $\eta =0.95$), and that the ultimate lower-temperature limit is set by the cosmic microwave background, at $T_{\text{DS}}=2.7\text{ K}$ and $\eta =0.99955$, all assuming a Sun-like star.

I'd bet anything that the true limit is higher and depends on the composition of the shell, but I have no idea what that limit is. Assuming that the structure is built by a Type II civilization but that they don't have access to handwavium or any other magical material, what's the maximum efficiency of a Dyson sphere of this nature?

posted almost 5 years ago

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HDE 226868‭

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